Differential calculus determines rates of change and integral calculus determines quantities from known rates of change. Calculus has many applications, including modeling cooling processes using Newton's law of cooling, calculating planetary orbits in astronomy, simulating environments for graphics and video games, determining building material needs and dome weights for architecture, and controlling systems. Calculus provides powerful tools for modeling and understanding changing systems in many domains.

1. WELCOME
Topic: Application of Differential
Calculus
Presented to
Md. Monirul Islam Lecturer ,
GUB
Presented By
Adnan al-emran ontor
Id: 222105033,
222(EA) CSE
GUB

2. What is Calculus?
Calculus is the mathematical study of continuous transformations, just
as geometry is the study of shapes and algebra is the study of
generalizations of arithmetic operations.

3. Calculus has two main branches.
Interpolation and the other is the integration
Differential calculus determines the rate of change of a quantity,
and integral calculus finds the amount where the rate of change is known.
T Y P E S O F C A L C U L U
S
1
Differential Calculus
2
Integral Calculus

4. What are Differential and Integra?
Differential calculus determines the rate of change of a
quantity, it’s like cutting something into small pieces to
find how it changes.
Integral calculus finds the quantity where the rate of
change is known, it’s like joining{integrates) the small
pieces together too much there is.

5. Calculus surrounds us.
Calculus is everywhere. The differentiation and
integration of calculus have many real-world
applications, from sports to engineering to
astronomy and space travel.

6. Differential calculus Newton’s law of cooling
Newton’s observation: he observed the temperature of his own temperature and the
temperature of the objects in contact with it.
Formulating: Frist order separable DE
Applying Calculus:
Where “k” is the positive proportionality constant

7. Applications on Newton's law of cooling
Investigatio
ns
It can be used to
determine the time of
death
Computer
manufacturin
g
Processors
Cooling system
Calculating the
surface area of
an object

8. According to eHow, "Calculus has been used in
astronomy since the 17th century to calculate the
orbits of the planets around stars. [It is] necessary to
accurately calculate the variable speed of moving
objects in space, including asteroids, comets and
other celestial bodies. Many of today's most
interesting astronomical insights were gained with
the use of calculus."
Use of calculus in Astronomy

9. A graphics artist uses calculus to determine how
different three-dimensional models will behave
when subjected to rapidly changing conditions.
This can create a realistic environment for movies
or video games.
Uses of calculus in graphics

10. An architect will use integration to determine
the number of materials necessary to construct a
curved dome over a new sports arena, as well as
calculate the weight of that dome and determine
the type of support structure required.
Use of Calculus in Architect

11. With calculus, we have the ability to find the effects
of changing conditions on a system. By studying
these, we can learn how to control a system to make
it do what we want it to do. Because of the ability to
model and control systems, calculus gives us
extraordinary power over the material world.
Conclusion

12. Thank you